#$1$

Consider the following linear program with two decision variables, $x_1$ and $x_2.$

max,$x_1+x_2$

$s.t.$

$3x_1+2x_2,120$

$x_1+2x_2,60$

$x_1,15$

$,x_{2}25$

$x_1,x_{2}0$

Use the graphical solution method to determine the optimal solution and the associated objective function value.